313edo: Difference between revisions
m Added catrel |
Cleanup; clarify the title row of the rank-2 temp table; linking |
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{{Harmonics in equal|313}} | {{Harmonics in equal|313}} | ||
=== | === Subsets and supersets === | ||
313edo is the 65th [[prime edo]]. | 313edo is the 65th [[prime edo]]. | ||
| Line 24: | Line 24: | ||
| 2.3 | | 2.3 | ||
| {{monzo| -496 313 }} | | {{monzo| -496 313 }} | ||
| | | {{mapping| 313 496 }} | ||
| +0.113 | | +0.113 | ||
| 0.113 | | 0.113 | ||
| Line 31: | Line 31: | ||
| 2.3.5 | | 2.3.5 | ||
| 32805/32768, {{monzo| -1 49 -33 }} | | 32805/32768, {{monzo| -1 49 -33 }} | ||
| | | {{mapping| 313 496 727 }} | ||
| -0.055 | | -0.055 | ||
| 0.254 | | 0.254 | ||
| Line 38: | Line 38: | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 6144/6125, 19683/19600, 40500000/40353607 | | 6144/6125, 19683/19600, 40500000/40353607 | ||
| | | {{mapping| 313 496 727 879 }} | ||
| -0.143 | | -0.143 | ||
| 0.268 | | 0.268 | ||
| Line 45: | Line 45: | ||
| 2.3.5.7.11 | | 2.3.5.7.11 | ||
| 540/539, 5632/5625, 8019/8000, 43923/43904 | | 540/539, 5632/5625, 8019/8000, 43923/43904 | ||
| | | {{mapping| 313 496 727 879 1083 }} | ||
| -0.158 | | -0.158 | ||
| 0.242 | | 0.242 | ||
| Line 52: | Line 52: | ||
| 2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
| 351/350, 540/539, 676/675, 4096/4095, 43923/43904 | | 351/350, 540/539, 676/675, 4096/4095, 43923/43904 | ||
| | | {{mapping| 313 496 727 879 1083 1158 }} | ||
| -0.091 | | -0.091 | ||
| 0.267 | | 0.267 | ||
| Line 61: | Line 61: | ||
{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
! Periods<br>per 8ve | ! Periods<br>per 8ve | ||
! Generator | ! Generator* | ||
! Cents | ! Cents* | ||
! Associated<br>Ratio | ! Associated<br>Ratio | ||
! Temperaments | ! Temperaments | ||
| Line 137: | Line 137: | ||
| [[2/1]] (±0 ¢) | | [[2/1]] (±0 ¢) | ||
|} | |} | ||
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct | |||
== Music == | == Music == | ||
{{ | {{Catrel| 313edo tracks }} | ||
* [https:// | ; [[User:Francium|Francium]] | ||
* "Calling Voices" from ''HemischisMatic EP'' – [https://open.spotify.com/track/6NdgC4jYz5TIvxV09kdpuk Spotify] | [https://francium223.bandcamp.com/track/calling-voices Bandcamp] | [https://youtu.be/ls51r_AICak?si=iaiiHo-Q-Q-74LN9 YouTube] – hemischis in 313edo tuning | |||
[[Category:Hemischis]] | [[Category:Hemischis]] | ||
[[Category:Hera]] | [[Category:Hera]] | ||
[[Category:Albus]] | [[Category:Albus]] | ||